caa a22 4500 463203046 CHVBK 20180405153117.0 cr unu---uuuuu 170326e20070801xx s 000 0 eng 10.1007/s00200-007-0043-z doi (NATIONALLICENCE)springer-10.1007/s00200-007-0043-z Skew-cyclic codes [Elektronische Daten] [D. Boucher, W. Geiselmann, F. Ulmer] We generalize the notion of cyclic codes by using generator polynomials in (non commutative) skew polynomial rings. Since skew polynomial rings are left and right euclidean, the obtained codes share most properties of cyclic codes. Since there are much more skew-cyclic codes, this new class of codes allows to systematically search for codes with good properties. We give many examples of codes which improve the previously best known linear codes. Springer-Verlag, 2007 Cyclic codes nationallicence Finite rings nationallicence Boucher D. IRMAR, Université de Rennes 1, Campus de Beaulieu, 35042, Rennes Cedex, France aut Geiselmann W. IAKS, Universität Karlsruhe, Fakultät für Informatik, 76128, Karlsruhe, Germany aut Ulmer F. IRMAR, Université de Rennes 1, Campus de Beaulieu, 35042, Rennes Cedex, France aut Applicable Algebra in Engineering, Communication and Computing Springer-Verlag 18/4(2007-08-01), 379-389 0938-1279 18:4<379 2007 18 200 https://doi.org/10.1007/s00200-007-0043-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00200-007-0043-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Boucher D. IRMAR, Université de Rennes 1, Campus de Beaulieu, 35042, Rennes Cedex, France aut NATIONALLICENCE 700 1- Geiselmann W. IAKS, Universität Karlsruhe, Fakultät für Informatik, 76128, Karlsruhe, Germany aut NATIONALLICENCE 700 1- Ulmer F. IRMAR, Université de Rennes 1, Campus de Beaulieu, 35042, Rennes Cedex, France aut NATIONALLICENCE 773 0- Applicable Algebra in Engineering, Communication and Computing Springer-Verlag 18/4(2007-08-01), 379-389 0938-1279 18:4<379 2007 18 200 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer